# The equation given that the statement ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.11, Problem 35E
To determine

## To find: The equation given that the statement

Expert Solution

The equation is k=7000

### Explanation of Solution

Given:

L varies inversely propostional to d2

Concept used:

If the quantities x and y are related by an equation

y=kx

For some constant k0

That is y varies inversely as x or y is inversely proportional to x

The constant k is called constant proportionality

Calculation:

If the quantities L and d are related by an equation

Lα1d2

Lα1d2L=kd270=k(10)2k=100×70k=7000

For some constant k0

That is v varies inversely z or v is inversely proportional to z

The constant k is called constant proportionality

The loudness of sound is inversely proportional to the square of the distance d from the sources of the sound

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